1 Answer

Dharshan · Answer 1 · 2021-02-01T02:56:29+0000

Answer:
$average\ rate\ of\ change\approx-3$

Explanation:

For this exercise you need to use the following formula:

$average\ rate\ of\ change=(f(b)-f(a))/(b-a)$

You need to find the average rate of change of the given function g(x) over the following interval:

[-1,2]

So, you can see in the table that the point whose x-coordinate is -1, is:

(-1,5)

And the point whose x-coordinate is 2, is:

(2,-3)

Knowing this, let be:

$a=-1\\f(a)=5\\\\b=2\\f(b)=-3$

Now you can substitute values into the formula:

$average\ rate\ of\ change=(-3-5)/(2-(-1))$

Finally, evaluating, you get that the average rate of change over the interval indicated in the exercise, is:

$average\ rate\ of\ change=(-8)/(3)\\\\average\ rate\ of\ change=-2.66\\\\average\ rate\ of\ change\approx-3$

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